Chapter 12

$\text{2.78}{\text{cm}}^3\text{/s}$

27 cm/s

(a) 0.75 m/s

(b) 0.13 m/s

(a) $40.0{\text{cm}}^2$

(b) $5\text{.}\text{09}\times {\text{10}}^7$

(a) 22 h

(b) 0.016 s

(a) 12.6 m/s

(b) $0.0800{\text{m}}^3\text{/s}$

(c) No, independent of density.

(a) 0.402 L/s

(b) 0.584 cm

(a) $\text{127}{\text{cm}}^{\text{3}}\text{/s}$

(b) 0.890 cm

$\begin{array}{lll}P& =& \frac{\text{Force}}{\text{Area}},\\ (P{)}_{\text{units}}& =& {\text{N/m}}^2=\text{N}\cdot {\text{m/m}}^3={\text{J/m}}^3\\ & =& \text{energy/volume}\end{array}$

184 mm Hg

$2\text{.}\text{54}\times {\text{10}}^5\text{N}$

(a) $1\text{.}\text{58}\times {\text{10}}^6{\text{N/m}}^2$

(b) 163 m

(a) $\text{9.56}\times {\text{10}}^8\text{W}$

(b) 1.4

1.26 W

(a) $3\text{.}\text{02}\times {\text{10}}^{-3}\text{N}$

(b) $1\text{.}\text{03}\times {\text{10}}^{-3}$

$1\text{.}{\text{60 cm}}^3\text{/min}$

$8.7\times {\text{10}}^{-\text{11}}{\text{m}}^3\text{/s}$

0.316

(a) 1.52

(b) Turbulence will decrease the flow rate of the blood, which would require an even larger increase in the pressure difference, leading to higher blood pressure.

$\text{225}\text{mPa}\cdot \text{s}$

$0\text{.}\text{138 Pa}\cdot \text{s,}$

or

Olive oil.

(a) $1\text{.}\text{62}\times {\text{10}}^{\text{4}}{\text{N/m}}^2$

(b) $0\text{.}{\text{111 cm}}^3\text{/s}$

(c)10.6 cm

1.59

$2\text{.}\text{95}\times {\text{10}}^6{\text{N/m}}^2$(gauge pressure)

$N_{\text{R}}=1.99\times {10}^2\mathrm{<\; 2000}$

(a) nozzle: $1\text{.}\text{27}\times {\text{10}}^5$ , not laminar

(b) hose: $3\text{.}\text{51}\times {\text{10}}^4$, not laminar.

2.54 << 2000, laminar.

1.02 m/s

$1.28\times {\text{10}}^{\mathrm{–2}}\text{L/s}$

(a)$\text{≥ 13.0 m}$

(b) $2\text{.}\text{68}\times {\text{10}}^{-6}{\text{N/m}}^2$

(a) 23.7 atm or $\text{344 lb/}{\text{in}}^2$

(b) The pressure is much too high.

(c) The assumed flow rate is very high for a garden hose.

(d) $5.27\times {\text{10}}^6$ > > 3000, turbulent, contrary to the assumption of laminar flow when using this equation.

$1\text{.}\text{41}\times {\text{10}}^{-3}\text{m}$

$1\text{.}3\times {\text{10}}^2\text{s}$

0.391 s

(c)

(a)

(a)

(a)

(d)